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Integral of sqrt(|3sin(x)|) dx

Limits of integration:

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The solution

You have entered [src]
  5                  
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 |  \/ |3*sin(x)|  dx
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$$\int\limits_{0}^{5} \sqrt{\left|{3 \sin{\left(x \right)}}\right|}\, dx$$
Integral(sqrt(Abs(3*sin(x))), (x, 0, 5))
The answer [src]
        5                         pi                        pi                          0              
        /                          /                         /                          /              
       |                          |                         |                          |               
  ___  |    _________        ___  |    ________        ___  |    _________        ___  |    ________   
\/ 3 * |  \/ -sin(x)  dx + \/ 3 * |  \/ sin(x)  dx - \/ 3 * |  \/ -sin(x)  dx - \/ 3 * |  \/ sin(x)  dx
       |                          |                         |                          |               
      /                          /                         /                          /                
                                                                                                       
$$\sqrt{3} \int\limits^{5} \sqrt{- \sin{\left(x \right)}}\, dx - \sqrt{3} \int\limits^{\pi} \sqrt{- \sin{\left(x \right)}}\, dx - \sqrt{3} \int\limits^{0} \sqrt{\sin{\left(x \right)}}\, dx + \sqrt{3} \int\limits^{\pi} \sqrt{\sin{\left(x \right)}}\, dx$$
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        5                         pi                        pi                          0              
        /                          /                         /                          /              
       |                          |                         |                          |               
  ___  |    _________        ___  |    ________        ___  |    _________        ___  |    ________   
\/ 3 * |  \/ -sin(x)  dx + \/ 3 * |  \/ sin(x)  dx - \/ 3 * |  \/ -sin(x)  dx - \/ 3 * |  \/ sin(x)  dx
       |                          |                         |                          |               
      /                          /                         /                          /                
                                                                                                       
$$\sqrt{3} \int\limits^{5} \sqrt{- \sin{\left(x \right)}}\, dx - \sqrt{3} \int\limits^{\pi} \sqrt{- \sin{\left(x \right)}}\, dx - \sqrt{3} \int\limits^{0} \sqrt{\sin{\left(x \right)}}\, dx + \sqrt{3} \int\limits^{\pi} \sqrt{\sin{\left(x \right)}}\, dx$$
sqrt(3)*Integral(sqrt(-sin(x)), (x, 5)) + sqrt(3)*Integral(sqrt(sin(x)), (x, pi)) - sqrt(3)*Integral(sqrt(-sin(x)), (x, pi)) - sqrt(3)*Integral(sqrt(sin(x)), (x, 0))
Numerical answer [src]
6.72276738731654
6.72276738731654

    Use the examples entering the upper and lower limits of integration.